Derivative of -4x^4

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    4
-4*x

$$- 4 x^{4}$$

d /    4\
--\-4*x /
dx

$$\frac{d}{d x} \left(- 4 x^{4}\right)$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$
So, the result is: $- 16 x^{3}$

The answer is:

$- 16 x^{3}$

The graph

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The first derivative [src]

     3
-16*x

$$- 16 x^{3}$$

Simplify

The second derivative [src]

     2
-48*x

$$- 48 x^{2}$$

Simplify

The third derivative [src]

-96*x

$$- 96 x$$

Simplify

The graph